Quenched Chiral Logs, the $η'$ Mass, and the Hairpin Diagram

Details Quenched Chiral Logs, the $η'$ Mass, and the Hairpin Diagram Quenched Chiral Logs, the $η'$ Mass, and the Hairpin Diagram

1996-08-21

arxiv.org/abs/hep-lat/9608110v1

Nucl.Phys.Proc.Suppl. 53 (1997) 256-258

Physics

High Energy Physics

High Energy Physics - Lattice

Scientific paper

10.1016/S0920-5632(96)00629-9

Limits on the size of quenched chiral logs in the pion mass for Wilson fermions are investigated. The smallness of chiral logs is shown to be a result of the suppression of the hairpin diagram for small $p^2$, such that the value of the hairpin on the pion mass shell is much smaller than the physical $m_{\eta'}^2$. A direct calculation of the topological susceptibility from the same data gives $m_{\eta'}\approx 1$ GeV.

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